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Finding the Third Proportional to 121,330 and 262,532

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Solution

The third proportional to 121,330 and 262,532 is: 568,062.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,330 : 262,532 = 262,532 : x
  2. Step 2: Convert to fraction form
    121,330/262,532 = 262,532/x
  3. Step 3: Cross multiply
    121,330x = 262,532 × 262,532
  4. Step 4: Simplify right side
    121,330x = 68,923,051,024
  5. Step 5: Solve for x
    x = 68,923,051,024/121,330
  6. Step 6: Final answer
    x = 568,062.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.